Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
31680cq |
Isogeny class |
Conductor |
31680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-162789159075840 = -1 · 225 · 36 · 5 · 113 |
Discriminant |
Eigenvalues |
2- 3- 5+ -5 11+ -2 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-50988,4473808] |
[a1,a2,a3,a4,a6] |
Generators |
[138:256:1] |
Generators of the group modulo torsion |
j |
-76711450249/851840 |
j-invariant |
L |
2.9002147153372 |
L(r)(E,1)/r! |
Ω |
0.57689033151407 |
Real period |
R |
1.256831046087 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31680bb1 7920bm1 3520bh1 |
Quadratic twists by: -4 8 -3 |